15:1 Resonance effects on the orbital motion of artificial satellites

Abstract The motion of an artificial satellite is studied considering geopotential perturbations and resonances between the frequencies of the mean orbital motion and the Earth rotational motion. The behavior of the satellite motion is analyzed in the neighborhood of the resonances 15:1. A suitable...

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Bibliographic Details
Published in:Journal of aerospace technology and management 2011-09, Vol.3 (3), p.251-258
Main Authors: Formiga, Jorge Kennety S., Moraes, Rodolpho Vilhena de
Format: Article
Language:English
Subjects:
Artificial satellites
Celestial mechanics
ENGINEERING, AEROSPACE
Resonance
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Summary:Abstract The motion of an artificial satellite is studied considering geopotential perturbations and resonances between the frequencies of the mean orbital motion and the Earth rotational motion. The behavior of the satellite motion is analyzed in the neighborhood of the resonances 15:1. A suitable sequence of canonical transformations reduces the system of differential equations describing the orbital motion to an integrable kernel. The phase space of the resulting system is studied taking into account that one resonant angle is fixed. Simulations are presented showing the variations of the semi-major axis of artificial satellites due to the resonance effects.
ISSN:2175-9146
1984-9648
2175-9146
DOI:10.5028/jatm.2011.03032011